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William Lawvere information


William Lawvere
Lawvere in Florence, 2003
Born
Francis William Lawvere

(1937-02-09)February 9, 1937
Muncie, Indiana, U.S.
DiedJanuary 23, 2023(2023-01-23) (aged 85)
Chapel Hill, North Carolina, U.S.
Alma materColumbia University
Known for
  • Contributions to topos theory and philosophy of mathematics
  • Lawvere theory
  • Lawvere's fixed-point theorem
Awards"Premio Giulio Preti", awarded by the Regional Council of Tuscany (2010)
Scientific career
FieldsMathematics
InstitutionsSUNY-Buffalo
Doctoral advisorSamuel Eilenberg

Francis William Lawvere (/lɔːˈvɪər/; February 9, 1937 – January 23, 2023) was an American mathematician known for his work in category theory, topos theory and the philosophy of mathematics.

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William Lawvere

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Francis William Lawvere (/lɔːˈvɪər/; February 9, 1937 – January 23, 2023) was an American mathematician known for his work in category theory, topos theory...

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Lawvere theory

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In category theory, a Lawvere theory (named after American mathematician William Lawvere) is a category that can be considered a categorical counterpart...

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Deaths in January 2023

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French board game designer (Mare Nostrum, Mystery of the Abbey). William Lawvere, 85, American mathematician. Fred Lindop, 84, British rugby league...

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Universal algebra

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Płonka, S. Świerczkowski, K. Urbanik, and others. Starting with William Lawvere's thesis in 1963, techniques from category theory have become important...

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Isbell duality

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fundamental construction of enriched category theory formally introduced by William Lawvere in 1986. That is a duality between covariant and contravariant representable...

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Galois connection

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ordered by inclusion. F is the lower adjoint. A very general comment of William Lawvere is that syntax and semantics are adjoint: take A to be the set of all...

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Dialectic

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logic, one that is very general in applicability.: 314  Mathematician William Lawvere interpreted dialectics in the setting of categorical logic in terms...

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Category theory

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ISBN 978-3-540-27949-5. Lawvere, F. William; Rosebrugh, Robert (2003). Sets for Mathematics. Cambridge University Press. ISBN 978-0-521-01060-3. Lawvere, F. William; Schanuel...

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Metric space

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Sets equipped with an extended pseudoquasimetric were studied by William Lawvere as "generalized metric spaces". From a categorical point of view, the...

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Constant function

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in the category of sets. This observation is instrumental for F. William Lawvere's axiomatization of set theory, the Elementary Theory of the Category...

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Outline of category theory

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History of category theory Saunders Mac Lane Samuel Eilenberg Max Kelly William Lawvere André Joyal Mathematics portal Abstract nonsense Glossary of category...

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History of topos theory

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(ordinary) Zariski-open sets. The current definition of topos goes back to William Lawvere and Myles Tierney. While the timing follows closely on from that described...

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2023 deaths in the United States

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historian (b. 1928) January 23 George Crabtree, 78, physicist (b. 1944) William Lawvere, 85, mathematician (b. 1937) Victor Navasky, 90, journalist (The Nation...

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Adjoint functors

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monads (cf. the Kuratowski closure axioms) a very general comment of William Lawvere is that syntax and semantics are adjoint: take C to be the set of all...

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Samuel Eilenberg

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Kuratowski Karol Borsuk Doctoral students Jonathan Beck David Buchsbaum Martin Golumbic Daniel Kan William Lawvere Ramaiyengar Sridharan Myles Tierney...

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Marta Bunge

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Set Valued Functors, was jointly supervised by Peter J. Freyd and William Lawvere. When she was offered a postdoctoral research position at McGill in...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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Shige Toshi Kuroda Robert Phelan Langlands Richard Lashof Francis William Lawvere Peter David Lax Jerome Paul Levine B. M. Levitan Joram Lindenstrauss...

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Timeline of category theory and related mathematics

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tangles and relations among them 1971 William Lawvere–Myles Tierney Lawvere–Tierney topology on a topos 1971 William Lawvere–Myles Tierney Topos theoretic forcing...

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1937 in the United States

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2003) February 5 – Stuart Damon, American actor (d. 2021) February 9 – William Lawvere, American mathematician (d. 2023) February 10 – Roberta Flack, African-American...

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Enriched category

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content of the enriched category axioms for categories enriched over 2. William Lawvere's generalized metric spaces, also known as pseudoquasimetric spaces...

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February 1937

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involve a DC-3. Born: William Lawvere, American mathematician known for Lawvere's fixed-point theorem and for the category of Lawvere theory sets; in Muncie...

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